Shannon entropy of symmetric Pollaczek polynomials
نویسندگان
چکیده
منابع مشابه
Shannon entropy of symmetric Pollaczek polynomials
We discuss the asymptotic behavior (as n → ∞) of the entropic integrals En = − ∫ 1 −1 log ( p n (x) ) p n (x)w(x) dx , and Fn = − ∫ 1 −1 log ( p n (x)w(x) ) p n (x)w(x) dx, when w is the symmetric Pollaczek weight on [−1, 1] with main parameter λ ≥ 1, and pn is the corresponding orthonormal polynomial of degree n. It is well known that w does not belong to the Szegő class, which implies in part...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2007
ISSN: 0021-9045
DOI: 10.1016/j.jat.2006.06.007